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Finding the Fourth Proportional to 1,091.22, 1,634.64 and 954.42

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Solution

The fourth proportional to 1,091.22, 1,634.64 and 954.42 is: 1,429.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,091.22 : 1,634.64 = 954.42 : x
  2. Step 2: Convert to fraction form
    1,091.22/1,634.64 = 954.42/x
  3. Step 3: Cross multiply
    1,091.22x = 1,634.64 × 954.42
  4. Step 4: Simplify right side
    1,091.22x = 1,560,133.11
  5. Step 5: Solve for x
    x = 1,560,133.11/1,091.22
  6. Step 6: Final answer
    x = 1,429.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.